To determine which student reads faster, we can calculate the reading rate (pages per hour) for both students.
Student 1:
From the graph, we can see that:
- At 2 hours, Student 1 reads 20 pages.
- At 3 hours, Student 1 reads 30 pages.
- At 4 hours, Student 1 reads 40 pages.
- At 5 hours, Student 1 reads 50 pages.
To find the reading rate, we can compute it between the various time intervals. For example, from 2 to 3 hours:
- Pages read = 30 - 20 = 10 pages
- Time = 3 - 2 = 1 hour
- Rate = 10 pages/hour
From 3 to 4 hours:
- Pages read = 40 - 30 = 10 pages
- Time = 4 - 3 = 1 hour
- Rate = 10 pages/hour
From 4 to 5 hours:
- Pages read = 50 - 40 = 10 pages
- Time = 5 - 4 = 1 hour
- Rate = 10 pages/hour
Overall, Student 1 reads consistently at a rate of 10 pages per hour.
Student 2: From the table provided:
-
From 2 hours to 3 hours, Student 2 reads:
- Pages = 45 - 30 = 15 pages
- Time = 3 - 2 = 1 hour
- Rate = 15 pages/hour
-
From 3 hours to 4 hours:
- Pages = 60 - 45 = 15 pages
- Time = 4 - 3 = 1 hour
- Rate = 15 pages/hour
Overall, Student 2 reads consistently at a rate of 15 pages per hour.
Now, comparing the two students:
- Student 1 reads at 10 pages/hour.
- Student 2 reads at 15 pages/hour.
Thus, Student 2 reads faster than Student 1 by:
- Difference = 15 pages/hour - 10 pages/hour = 5 pages/hour.
The correct response is: Student 2 reads faster than Student 1 by 5 pages per hour.